How do you evaluate ${log}_{4} 27$ $log_4 27$ ?

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How do you evaluate ${log}_{4} 27$ $log_4 27$ ?

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Answer 1 · 2016-03-06T16:24:50

${log}_{4} 27 = 2, 37744375108$ $log_4 27=2,37744375108$

Explanation:

${log}_{4} 27 = {log}_{4} 3^{3} = 3 {log}_{4} 3$ $log_4 27=log _4 3^3=3 log_4 3$
${log}_{4} 3 = \frac{{log}_{10} 3}{{log}_{10} 4}$ $log_4 3=(log_(10)3)/(log_(10)4)$
${log}_{4} 27 = 3 \frac{{log}_{10} 3}{{log}_{10} 4}$ $log_4 27=3(log_(10)3)/(log_(10) 4)$
${log}_{4} 27 = 3 \cdot \frac{0, 47712125472}{0, 602059991328}$ $log_4 27=3*(0,47712125472)/(0,602059991328)$
${log}_{4} 27 = 2, 37744375108$ $log_4 27=2,37744375108$

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How do you evaluate ${log}_{4} 27$ $log_4 27$ ?

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